Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Answer:
It looks like you wrote the equation in point-slope form perfectly!
But for part c, it seems as though x1 and y1 would represent parts of the midpoint formula. So, I would specify and say that they represent the midpoint, not just a point.
Step-by-step explanation:
If both Pamela and Debbie can shelf the same number of books at the end, the smallest number of books each could have shelved is 182
The number of books that Pamela can shelf at a time = 26
The number of books that Debbie can shelf at a time = 7
If both Pamela and Debbie can shelf the same number of books at the end, the smallest number of books each could have shelved is the least common multiple of 26 and 7
The Least common multiple of 26 and 7 = 182
Therefore, if both Pamela and Debbie can shelf the same number of books at the end, the smallest number of books each could have shelved is 182
Learn more on Least Common Multiple here: brainly.com/question/363238
Answer:
the answer is 8.5
Step-by-step explanation:
divide 85 by 10 to get 8.5 for all the dimension
